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All Journal Journal of Multidisciplinary Science: MIKAILALSYS
N, Yohanna
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Environmental Science Physics Social Sciences Other

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Modification of Picard's Iterative Method for the Solution of Fractional Differential Equations B, Bivan J.; Aminu, Barde; O, Okai J.; G, Madaki A.; Cornelius, Michael; G, Thomas J.; N, Yohanna
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i2.5314

Abstract

A robust algorithm is introduced in the development of the Modified Picard’s Iterative Method (MPIM) to effectively address both linear and nonlinear Fractional Differential Equation (FDE) and other types of fractional order differential equations. The method's efficacy is demonstrated through numerical examples, showcasing its ability to solve these equations without resorting to linearization or small perturbations. The results affirm the method's strength, accuracy, and simplicity in comparison to alternative approaches.
Co-Authors Aminu, Barde B, Bivan J. Cornelius, Michael G, Madaki A. G, Thomas J. O, Okai J.